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Finding the Fourth Proportional to 6,810.97, 9,399.54 and 5,129.41

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Solution

The fourth proportional to 6,810.97, 9,399.54 and 5,129.41 is: 7,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.97 : 9,399.54 = 5,129.41 : x
  2. Step 2: Convert to fraction form
    6,810.97/9,399.54 = 5,129.41/x
  3. Step 3: Cross multiply
    6,810.97x = 9,399.54 × 5,129.41
  4. Step 4: Simplify right side
    6,810.97x = 48,214,094.47
  5. Step 5: Solve for x
    x = 48,214,094.47/6,810.97
  6. Step 6: Final answer
    x = 7,078.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.